3756448320 has 224 divisors, whose sum is σ = 12653832960. Its totient is φ = 942120960.

The previous prime is 3756448313. The next prime is 3756448321. The reversal of 3756448320 is 238446573.

It is a super-2 number, since 2×3756448320² = 28221807961661644800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3756448321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1345486 + ... + 1348274.

Almost surely, 2^3756448320 is an apocalyptic number.

3756448320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3756448320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326916480).

3756448320 is an abundant number, since it is smaller than the sum of its proper divisors (8897384640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3756448320 is a wasteful number, since it uses less digits than its factorization.

3756448320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 3756448320 is about 61289.8712676083. The cubic root of 3756448320 is about 1554.5062510174.

The spelling of 3756448320 in words is "three billion, seven hundred fifty-six million, four hundred forty-eight thousand, three hundred twenty".